Simply invariant subspaces of H2 of some multiply connected regions
The authors are concerned with the invariant subspaces of $H^2(\Omega)$, where $\Omega$ is a bounded, finitely connected, planar domain with an analytic boundary. A subspace of $H^2(\Omega)$ is said to be invariant if it is invariant under multiplication by $z$, and fully invariant if it is invariant under multiplication by all rational functions with poles off the closure of $\Omega$. If $\Omeg